A Dual Approach for Obtaining Lower Bounds to the Weber Problem
Article Abstract:
A mathematical expression of the basic Weber problem in location analysis is featured. Such a problem is more than three centuries old. An alternate method for figuring a lower bound by forming a feasible solution to dual problems is the focus of this research. In situations where no differentiable norm exists, the general concept of gradient, or subgradient, is employed. Tables of bound comparisons are included. This method will function for a more general class of mathematical problems which are similar to problems with dual constraints having just norm equalities and subspace constraints. Four examples of bounds are given; comparisons are made with the Euclidean and rectilinear norms. Theorems, proofs and corollaries are included.
Publication Name: Journal of Regional Science
Subject: Social sciences
ISSN: 0022-4146
Year: 1984
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The effect of hedonic migration decisions and region-specific amenities on industrial location: could Silicon Valley be in South Dakota
Article Abstract:
An analysis of the mechanisms involved in business relocations with regards to regional amenities reveals that three distinct phases occur one after the other. The first phase involves the concentration of firms in specific areas with rapidly changing level of amenities; second is the gradual change of the composition of industry at nearby areas, and; third is the concentration of industries at the outskirts of the high-amenity areas. The three phases comprise a third 'nature' responsible for changes in industrial composition is independent of the first and the second which is the cost of production and the cost of transportation, respectively.
Publication Name: Journal of Regional Science
Subject: Social sciences
ISSN: 0022-4146
Year: 1997
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Two-way migration in a model with identical optimizing agents
Article Abstract:
An analysis of the migration patterns involving individuals and desirable locations reveals that the movement into a desirable location is offset by movement out of the desirable location and into the less desirable location. The study also points out that using two identical utility maximizing agents to compute for migration would result in immigration being equal or nearly equal to the emigration.
Publication Name: Journal of Regional Science
Subject: Social sciences
ISSN: 0022-4146
Year: 1997
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